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34424552441 = 17431133471201
BaseRepresentation
bin100000000011110111…
…001111101111111001
310021212002212110021202
4200003313033233321
51031000141134231
623451525343545
72326033603436
oct400367175771
9107762773252
1034424552441
1113665842844
126808867bb5
133327c43676
141947d14b8d
15d672b25cb
hex803dcfbf9

34424552441 has 32 divisors (see below), whose sum is σ = 37767109248. Its totient is φ = 31249612800.

The previous prime is 34424552401. The next prime is 34424552447. The reversal of 34424552441 is 14425542443.

It is a cyclic number.

It is not a de Polignac number, because 34424552441 - 26 = 34424552377 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34424552395 and 34424552404.

It is not an unprimeable number, because it can be changed into a prime (34424552447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28662641 + ... + 28663841.

It is an arithmetic number, because the mean of its divisors is an integer number (1180222164).

Almost surely, 234424552441 is an apocalyptic number.

It is an amenable number.

34424552441 is a deficient number, since it is larger than the sum of its proper divisors (3342556807).

34424552441 is a wasteful number, since it uses less digits than its factorization.

34424552441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721.

The product of its digits is 307200, while the sum is 38.

The spelling of 34424552441 in words is "thirty-four billion, four hundred twenty-four million, five hundred fifty-two thousand, four hundred forty-one".

Divisors: 1 17 43 113 347 731 1201 1921 4859 5899 14921 20417 39211 51643 82603 135713 253657 416747 666587 877931 1686073 2307121 5835659 7084699 17920121 28663241 47092411 99206203 304642057 800570987 2024973673 34424552441